The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  2  2  1  4
 0 12  0  0  0  0  0  0  0  0  4  8 12 12  8  4  8  4  0 12  8  4 12  4
 0  0 12  0  0  0  4 12 12  8  4  0 12  8 12  4 12 12 12  8  4  4 12  8
 0  0  0 12  0  4  4  4  0  8  0  0  0  0  8  4  8  4  4  8 12  0 12 12
 0  0  0  0 12  4  8  4  4  0  8  4 12  4 12 12  0 12  8  8  4  0  4  8
 0  0  0  0  0  8  8  0  8  8  0  8  8  8  8  0  0  0  0  8  0  8  8  0

generates a code of length 24 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+141x^18+317x^20+64x^21+848x^22+1472x^23+2524x^24+1472x^25+844x^26+64x^27+299x^28+116x^30+26x^32+3x^34+1x^40

The gray image is a code over GF(2) with n=192, k=13 and d=72.
This code was found by Heurico 1.16 in 6.31 seconds.